Von Neumann's inequality for commuting weighted shifts
Functional Analysis
2020-09-21 v2 Operator Algebras
Abstract
We show that every multivariable contractive weighted shift dilates to a tuple of commuting unitaries, and hence satisfies von Neumann's inequality. This answers a question of Lubin and Shields. We also exhibit a closely related -tuple of commuting contractions, similar to Parrott's example, which does not dilate to a -tuple of commuting unitaries.
Keywords
Cite
@article{arxiv.1508.01260,
title = {Von Neumann's inequality for commuting weighted shifts},
author = {Michael Hartz},
journal= {arXiv preprint arXiv:1508.01260},
year = {2020}
}
Comments
13 pages; minor changes